Journal of Guangdong University of Technology ›› 2015, Vol. 32 ›› Issue (1): 128-132.doi: 10.3969/j.issn.1007-7162.2015.01.026

• Comprehensive Studies • Previous Articles     Next Articles

Stability and Boundedness of a Class of Thirdorder Delay Differential Equations

Xu Lin, Song Chang-xiu   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2013-10-17 Online:2015-03-05 Published:2015-03-05

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Abstract: This paper studies the asymptotic stability of the zero solution and the boundedness of all solutions to a class of third-order delay differential Equation. By the method of Lyapunov function, some sufficient conditions for the asymptotic stability of the zero solution and the boundedness of all solutions are proposed.

Key words: delay differential equations; asymptotic stability; Lyapunov functional; boundedness

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